tensorflow / tensorflow/probability

Status of tfp.experimental.tangent_spaces

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Description

When I use a TransformedDistribution with base SphericalUniform, I get incorrect densities. This is because the Bijector is applied to a manifold of strictly-lower intrinsic dimension than the space it is embedded in. (This is called the base measure problem.) Looking for a solution, I came across the following in the documentation:

These solve the problem by passing around a TangentSpace along with the point. I was wondering what the status of these components is, and whether there are any plans to add them to distributions like SphericalUniform.

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Research direction

Start by reading the linked documentation for tfp.experimental.tangent_spaces, Distribution.experimental_local_measure, and Bijector.experimental_compute_density_correction. Compare their documented status with the SphericalUniform and TransformedDistribution behavior; done would require a decided path for supporting tangent-space-aware densities, including whether SphericalUniform should expose it.

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Assessment

Domain
machine-learning
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
20/100

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